Year 10 Equation Word Problems Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 10 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Linear EquationsYear 10 Equation Word Problems Worksheet — Level 3 — Practice Set 4 — Answers
For each problem, choose a letter for the unknown, write an equation, solve it, and check your answer in the words of the problem.
1.Emma buys some notebooks at $4.50 each and pays $4.00 for delivery. The total is $31.00. How many notebooks did Emma buy?
Answer: 6
- 4.50n + 4.00 = 31.00
- 4.50n = 27.00
- n = 6
2.Sienna buys some notebooks at $1.00 each and pays $2.00 for delivery. The total is $6.00. How many notebooks did Sienna buy?
Answer: 4
- 1.00n + 2.00 = 6.00
- 1.00n = 4.00
- n = 4
3.Kai buys some notebooks at $2.00 each and pays $6.00 for delivery. The total is $18.00. How many notebooks did Kai buy?
Answer: 6
- 2.00n + 6.00 = 18.00
- 2.00n = 12.00
- n = 6
4.Zoe buys some notebooks at $3.00 each and pays $5.00 for delivery. The total is $14.00. How many notebooks did Zoe buy?
Answer: 3
- 3.00n + 5.00 = 14.00
- 3.00n = 9.00
- n = 3
5.The sum of 4 consecutive whole numbers is 102. Find the numbers.
Answer: 24, 25, 26, 27
- n + (n + 1) + (n + 2) + (n + 3) = 102
- 4n + 6 = 102
- n = 24
6.Aisha buys some notebooks at $3.00 each and pays $1.00 for delivery. The total is $7.00. How many notebooks did Aisha buy?
Answer: 2
- 3.00n + 1.00 = 7.00
- 3.00n = 6.00
- n = 2
7.The sum of 4 consecutive whole numbers is 178. Find the numbers.
Answer: 43, 44, 45, 46
- n + (n + 1) + (n + 2) + (n + 3) = 178
- 4n + 6 = 178
- n = 43
8.Jack buys some notebooks at $3.50 each and pays $3.00 for delivery. The total is $24.00. How many notebooks did Jack buy?
Answer: 6
- 3.50n + 3.00 = 24.00
- 3.50n = 21.00
- n = 6
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.